Answer to Question #241283 in Electric Circuits for shalline

Question

          

c)    If the area of a capacitor plates is squared three times and its square root distance tripled twice. What is the final value of its capacitance?   

Answer 1

$C=\frac{A\epsilon_0}{d}$

$A'={3A}\\$

$d'=2d$

$C'=\frac{3A\epsilon_0}{2d}$

$\frac{C'}{C}=\frac{\frac{3A\epsilon_0}{2d}}{\frac{A\epsilon_0}{d}}=\frac{3}{2}$

$C'=\frac{3}{2}C$